# Factors of 36

What are the factors of 36? Are your children familiar with factors of 36? If not, teach them to recognize and calculate factors of a number related mathematical problems accurately. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 28, and 36. Besides this, you can also focus on teaching prime and pair factors of 36 to children. To make learning fun, you can conduct math games for kids. These activities help children concentrate on learning factors of 36 and make them enjoy the learning process.

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Kids must learn ways to find the factors of 36 using simple division and multiplication methods. The pair factors of 36 are (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6) and prime factors of 36 are 2 x 2 x 3 x 3 = 22 x 33. Learning factors of 36 help kids to understand mathematical concepts with ease. They can make fast and accurate calculations for better learning outcomes. The best way would be to teach kids how to find factors of 36 through math activities. These activities keep them engaged in learning concepts for a longer period of time.

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## What are the Factors of 36?

Factors of 36 are the numbers that divide the given number 36 completely without leaving the remainder. Kids must understand the fact that factors of 36 can have positive and negative numbers. However, it cannot be a fraction or a decimal number. If you multiply two negative factors by 36, you will get a positive number. The number 36 is a composite number that consists of factors including one and the number itself. The total sum of factors of 36 is 1 + 2 + 3 + 4 + 6 + 9 + 12 + 28 + 36 is 101. Kids can learn and memorize 100 times tables to solve multiplication and division problems to find out factors of 36.

## How to Find the Factors of 36?

To find the factors of 36, you need to divide the original number 36 completely without leaving the remainder. There are a total of nine factors of 36 in mathematics.

36/1 = 36

36/2 = 18

36/3 = 12

36/4 = 9

36/6 = 6

36/9 = 4

36/12 = 3

36/18 = 2

36/36 = 1

Therefore, the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

### Negative Factors of 36

Moreover, you can also find the negative factors of 36, which can be written as -1, -2, -3, -4, -6, -9, -12, -18 and -36. When you multiply the two negative factors of 36, you get a positive number. The list of negative factors of 36 is given below.

-1 x-36 = 36

-2 x -18 = 36

-3 x -12 = 36

-4 x -9 = 36

-6 x -6 = 36

-9 x -4 = 36

-12 x -3 = 36

-18 x -2 = 36

-36 x -1 = 36

### Prime Factors of 36

To calculate the prime factors of 36, you need to divide 36 with the least prime number 2. Then, repeat the steps with the same prime number 2, followed by dividing the result with the number 3 until you get the quotient one. Therefore, the steps of calculating the prime factors of 36 are:

Step 1: 36/2 = 18

Step 2: 18/2 = 9

As number 9 is not divisible by prime number 2, you can use number 3 to calculate the prime factors of 36

Step 3: 9/3 = 3

Step 4: 3/3 = 1

Therefore, the prime factors of 36 is 2 x 2 x 3 x 3 = 22 x 33

### Pair Factors of 36

To find the pair factors of 36, you need to multiply the two factors to get the original number 36. The two factors multiplied together are pair factors. You can teach kids multiplication tables from 31 to 40 for an effective calculation experience.

1 x 36 = 36

2 x 18 = 36

3 x 12 = 36

4 x 9 = 36

6 x 6 = 36

9 x 4 = 36

12 x 3 = 36

18 x 2 = 36

36 x 1 = 36

Therefore, the pair factors of 36 are (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6).

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## Solved Example on Factors of 36

Some solved examples of 36 for kids are mentioned below:

Example 1: If you distribute 36 bananas equally to 12 monkeys sitting on a tree, how many bananas did each monkey get?

Solution: Number of bananas = 36

Number monkeys = 12

Total number of bananas received by each monkey = 36/12 = 3

Therefore, the total number of bananas received by each monkey is 3.

Example 2: Find the common factors of 36 and 18

Solution: Factors of 36 =  1, 2, 3, 4, 6, 9, 12, 18, and 36.

Factors of 18 =  1, 2, 3, 6, 9, and 18

Therefore, the common factors of 36 and 18 are 1, 2, 3, 6, 9, and 18

Example 3: Marie bought 36 apples from the orchard. She kept all the apples in four cartons. How many apples did she keep in each carton?

Solution: Number of apples = 36

Number of cartons = 4

Total number of apples kept in each carton = 36/4 = 9

Therefore, the total number of apples kept in each carton is 9.

## Benefits of Learning Factors of 36

The benefits of learning factors of 36 are mentioned below:

• It helps children understand the concept of mathematics related to factors of 36 effectively.
• It develops mathematical skills in children.
• It motivates children to learn mathematics for better learning outcomes.
• It helps kids solve mathematical problems with ease.
• It increases the speed and accuracy of solving mathematical problems.

We hope this article on factors of 36 was useful to you. For more about activities, worksheets and games, explore worksheets for kids, math for kidspuzzles for kids, kids learning sections at Osmo.

## Frequently Asked Questions on Factors of 36

### What is the total number of factors of 36?

There are a total nine factors of 36,which are given below:
36/1 = 36
36/2 = 18
36/3 = 12
36/4 = 9
36/6 = 6
36/9 = 4
36/12 = 3
36/18 = 2
36/36 = 1

### What are the pair factors of 36?

The pair factors of 36 are (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6).

### What is the total sum of factors of 36?

The total sum of factors of 36 are 1 + 2 + 3 + 4 + 6 + 9 + 12 + 28 + 36 is 101.